The IFMIF-DONES facility provides a very high intensity flux of neutrons for research on materials of future fusion reactors and other complementary applications. The generation of those neutrons is driven by stripping reactions between energetic deuteron particles and a liquid lithium jet. The requirements on the deuteron beam are to deliver a 40 MeV beam with a constant current of 125 mA. All the systems involved in the generation, acceleration, transport and shaping of the deuteron beam are grouped in the so-called accelerator systems (AS). The design of this high-power driver has been ongoing for a long time, and many prototypes of the critical technologies have been tested. During the last decade, the design has been consolidated and evolved into an engineering design ready for construction. The overview of the main features of the design and the current status is presented in this article.